Johan found that the equation –2|8 – x| – 6 = –12 had two possible solutions: x = 5 and x = –11. which explains whether his solutions are correct?

x = 5 is correct, x = - 11 is incorrect

step-by-step explanation:

to determine if the solutions obtained are correct

substitute the values into the left side of the equation and if equal to the right side then they are solutions.

testing x = 5

- 2 | 8 - 5 | - 6

= - 2 | 3 | - 6

= (- 2× 3) - 6

= - 6 - 6 = - 12 ← correct hence x = 5 is a solution

testing x = - 11

- 2 | 8 - (- 11 ) | - 6

= - 2 | 8 + 11 | - 6

= - 2 | 19 | - 6

= (- 2 × 19) - 6

= - 38 - 6 = - 44 ≠ - 12 hence x = - 11 is incorrect

4

step-by-step explanation:

total amount of money that he should pay if he has not used his duty free exemption is $98

step-by-step explanation:

given a united states citizen returning to the states declares the following items at the customs office: 3 shirts at $8.50 each 2 dresses at $27.50 each 1 pair of gold cuff links at $17.50 per pair. we have to find how much he pay

cost of 3 shirts if one cost at $8.50 is

cost of 2 dresses if one cost at $27.50 is  

cost of 1 pair of gold cuff at $17.50

so, total amount of money that he should pay if he has not used his duty free exemption is   $25.5+$55+$17.50=$98